Search a number
-
+
31522140200 = 23522394331523
BaseRepresentation
bin11101010110110111…
…011011000000101000
310000100211110122012002
4131112313123000220
51004024131441300
622251524510132
72164101525245
oct352667330050
9100324418162
1031522140200
1112406476541
12613884b348
132c84839985
1417506725cc
15c475985d5
hex756ddb028

31522140200 has 96 divisors (see below), whose sum is σ = 73814025600. Its totient is φ = 12518876160.

The previous prime is 31522140173. The next prime is 31522140203. The reversal of 31522140200 is 204122513.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (31522140203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20696639 + ... + 20698161.

It is an arithmetic number, because the mean of its divisors is an integer number (768896100).

Almost surely, 231522140200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31522140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36907012800).

31522140200 is an abundant number, since it is smaller than the sum of its proper divisors (42291885400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31522140200 is a wasteful number, since it uses less digits than its factorization.

31522140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 31522140200 its reverse (204122513), we get a palindrome (31726262713).

The spelling of 31522140200 in words is "thirty-one billion, five hundred twenty-two million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 239 433 478 866 956 1195 1523 1732 1912 2165 2390 3046 3464 4330 4780 5975 6092 7615 8660 9560 10825 11950 12184 15230 17320 21650 23900 30460 38075 43300 47800 60920 76150 86600 103487 152300 206974 304600 363997 413948 517435 659459 727994 827896 1034870 1318918 1455988 1819985 2069740 2587175 2637836 2911976 3297295 3639970 4139480 5174350 5275672 6594590 7279940 9099925 10348700 13189180 14559880 16486475 18199850 20697400 26378360 32972950 36399700 65945900 72799400 131891800 157610701 315221402 630442804 788053505 1260885608 1576107010 3152214020 3940267525 6304428040 7880535050 15761070100 31522140200